Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Textbook Question
Chapter 18, Problem 96P
Figure 18-59 shows a composite bar of length L
Figure 18-59 Problem 96.
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Consider a wire with a cross-section A and a length L.
The Young's modulus is given by:
Y =
LOF
A ƏL
T
Where F = F(T, L) is the tension in the wire.
The linear expansion coefficient is given by:
απ
1/ǝL
LOT
F
Give in expression for the change in tension in the wire with temperature in terms of the Young's modulus and the linear
expansion coefficient if the wire is kept at a fixed length.
Problem 3: Railroad tracks are made from segments L = 76 m long at T = 20° C. When the tracks are laid, the engineers leave gaps of width I
between adjacent segments to allow for thermal expansion. The coefficient of linear expansion is a = 12 × 10-6 °C-1 and engineers design the tracks to
withstand temperatures of Te = 36 degrees.
Part (a) Enter an expression, in terms of given variables, for the minimum gap distance I the engineers must leave for a track rated at temperature
Tc
1=
Part (b) What is the minimum gap distance in meters?
Part (c) Suppose the engineers forgot to add the gaps at the beginning of 15 segments. How much longer, in meters, would the track be at T?
An aluminum cup of 51 cm³ capacity is completely filled with glycerin at 19°C. How much glycerin will spill out of the cup if the
temperature of both the cup and glycerin is increased to 34°C? (The linear expansion coefficient of aluminum is 23 x 10-6 1/C°. The
coefficient of volume expansion of glycerin is 5.1x 104 1/C°)
Number
i
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Chapter 18 Solutions
Fundamentals of Physics Extended
Ch. 18 - The initial length L, change in temperature T, and...Ch. 18 - Figure 18-24 shows three linear temperature...Ch. 18 - Materials A, B, and C are solids that are at their...Ch. 18 - A sample A of liquid water and a sample B of ice,...Ch. 18 - Question 4 continued: Graphs b through f of Fig....Ch. 18 - Figure 18-26 shows three different arrangements of...Ch. 18 - Figure 18-27 shows two closed cycles on p-V...Ch. 18 - For which cycle in Fig. 18-27, traversed...Ch. 18 - Three different materials of identical mass are...Ch. 18 - A solid cube of edge length r, a solid sphere of...
Ch. 18 - A hot object is dropped into a thermally insulated...Ch. 18 - Suppose the temperature of a gas is 373.15 K when...Ch. 18 - Two constant-volume gas thermometers are...Ch. 18 - A gas thermometer is constructed of two...Ch. 18 - a In 1964, the temperature in the Siberian village...Ch. 18 - At what temperature is the Fahrenheit scale...Ch. 18 - On a linear X temperature scale, water freezes at...Ch. 18 - ILW Suppose that on a linear temperature scale X,...Ch. 18 - At 20C, a brass cube has edge length 30 cm. What...Ch. 18 - ILW A circular hole in an aluminum plate is 2.725...Ch. 18 - An aluminum flagpole is 33 m high. By how much...Ch. 18 - Prob. 11PCh. 18 - An aluminum-alloy rod has a length of 10.000 cm at...Ch. 18 - SSM Find the change in volume of an aluminum...Ch. 18 - When the temperature of a copper coin is raised by...Ch. 18 - ILW A steel rod is 3.000 cm in diameter at 25.00C....Ch. 18 - When the temperature of a metal cylinder is raised...Ch. 18 - SSM WWW An aluminum cup of 100 cm3 capacity is...Ch. 18 - At 20C, a rod is exactly 20.05 cm long on a steel...Ch. 18 - GO A vertical glass tube of length L = 1.280 000 m...Ch. 18 - GO In a certain experiment, a small radioactive...Ch. 18 - SSM ILW As a result of a temperature rise of 32 C,...Ch. 18 - One way to keep the contents of a garage from...Ch. 18 - SSM A small electric immersion healer is used to...Ch. 18 - A certain substance has a mass per mole of 50.0...Ch. 18 - Prob. 25PCh. 18 - What muss of butter, which has a usable energy...Ch. 18 - SSM Calculate the minimum amount of energy, in...Ch. 18 - How much water remains unfrozen after 50.2 kJ is...Ch. 18 - In a solar water heater, energy from the Sun is...Ch. 18 - A 0.400 kg simple is placed in a cooling apparatus...Ch. 18 - ILW What mass of steam at 100C must be mixed with...Ch. 18 - The specific heat of a substance varies with...Ch. 18 - Nonmetric version: a How long does a 2.0 105...Ch. 18 - GO Samples A and B are at different initial...Ch. 18 - An insulated Thermos contains l30 cm3 of hot...Ch. 18 - A 150 g copper bowl contains 220 g of water, both...Ch. 18 - A person makes a quantity of iced tea by mixing...Ch. 18 - A 0.530 kg sample of liquid water and a sample of...Ch. 18 - GO Ethyl alcohol has a boiling point of 78.0C, a...Ch. 18 - GO Calculate the specific heat of a metal from the...Ch. 18 - SSM WWW a Two 50 g ice cubes are dropped into 200...Ch. 18 - GO A 20.0 g copper ring at 0.000C has an inner...Ch. 18 - In Fig. 18-37, a gas sample expands from V0 to...Ch. 18 - GO A thermodynamic system is taken from stale A to...Ch. 18 - SSM ILW A gas within a closed chamber undergoes...Ch. 18 - Suppose 200 J of work is done on a system and 70.0...Ch. 18 - Prob. 47PCh. 18 - GO As a gas is held within a closed chamber, it...Ch. 18 - GO Figure 18-42 represents a closed cycle for a...Ch. 18 - GO A lab sample of gas is taken through cycle abca...Ch. 18 - A sphere of radius 0.500 m, temperature 27.0C, and...Ch. 18 - The ceiling of a single-family dwelling in a cold...Ch. 18 - SSM Consider the slab shown in Fig. 18-18. Suppose...Ch. 18 - If you were to walk briefly in space without a...Ch. 18 - ILW A cylindrical copper rod of length 1.2 m and...Ch. 18 - The giant hornet Vespa mandarinia japonica preys...Ch. 18 - Prob. 57PCh. 18 - A solid cylinder of radius r1 = 2.5 cm, length h1...Ch. 18 - Prob. 59PCh. 18 - GO Figure 18-46 shows the cross section of a wall...Ch. 18 - SSM A 5.0 cm slap has formed on an outdoor tank of...Ch. 18 - Leidenfrost effect. A water drop will last about 1...Ch. 18 - GO Figure 18-49 shows in cross section a wall...Ch. 18 - Prob. 64PCh. 18 - Ice has formed on a shallow pond, and a shady...Ch. 18 - GO Evaporative cooling of beverages. A cold...Ch. 18 - In the extrusion of cold chocolate from a tube,...Ch. 18 - Prob. 68PCh. 18 - Figure 18-51 displays a closed cycle for a gas....Ch. 18 - In a certain solar house, energy from the Sun is...Ch. 18 - A 0.300 kg sample is placed in a cooling apparatus...Ch. 18 - The average rate at which energy is conducted...Ch. 18 - What is the volume increase of an aluminum cube...Ch. 18 - In a series of experiment, block B is to be placed...Ch. 18 - Figure 18-54 displays a dosed cycle for a gas....Ch. 18 - Three equal-length straight rods, of aluminum,...Ch. 18 - SSM The temperature of a 0.700 kg cube of ice is...Ch. 18 - GO Icicles. Liquid water coats an active growing...Ch. 18 - SSM A sample of gas expands from an initial...Ch. 18 - Figure 18-56a shows a cylinder containing gas and...Ch. 18 - SSM A sample of gas undergoes a transition from an...Ch. 18 - Prob. 82PCh. 18 - SSM The temperature of a Pyrex disk is changed...Ch. 18 - a Calculate the rate at which body heat is...Ch. 18 - SSM A 2.50 kg Jump of aluminum is heated to 92.0C...Ch. 18 - A glass window pane is exactly 20 cm by 30 cm at...Ch. 18 - A recruit can join the semi-secret 300 F club at...Ch. 18 - A steel rod at 25.0C is bolted at both ends and...Ch. 18 - An athlete needs to lose weight and decides to do...Ch. 18 - Soon after Earth was formed, heat released by the...Ch. 18 - Prob. 91PCh. 18 - A rectangular plate of glass initially has the...Ch. 18 - Suppose that you intercept 5.0 103 of the energy...Ch. 18 - A thermometer of mass 0.0550 kg and of specific...Ch. 18 - A sample of gas expands from V1 = 1.0 m3 and p1 =...Ch. 18 - Figure 18-59 shows a composite bar of length L =...Ch. 18 - On finding your stove out of order, you decide to...Ch. 18 - The p-V diagram in the Fig. 18-60 shows two paths...Ch. 18 - A cube of edge length 6.0 106 m, emissivity 0.75,...Ch. 18 - A flow calorimeter is a device used to measure the...Ch. 18 - An object of mass 6.00 kg falls through a height...Ch. 18 - The Pyrex glass mirror in a telescope has a...Ch. 18 - The area A of a rectangular plate is ab = 1.4 m2....Ch. 18 - Consider the liquid in a barometer whose...Ch. 18 - A pendulum clock with a pendulum made of brass is...Ch. 18 - Prob. 106PCh. 18 - Prob. 107PCh. 18 - A 1700 kg Buick moving at 83 km/h brakes to a...
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